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The definition of number in Mathematics has developed throughout the ages. | *When* | *What* | *Where* | | Circa 20000 B.C. | Whole numbers | Africa - How old is Mathematics? | | Circa 2800 B.C. | Rational numbers | India | | 800 - 500 B.C. | Irrational numbers | India | | 5th Century B.C. | zero | India | | 100 B.C. | Negative numbers | China | | 16th Century | Complex numbers | Italy - Niccolo Fontana Tartaglia, Gerolamo Cardano | | 1761 | Transcendental numbers | Switzerland - Johann Heinrich Lambert | | 1843 | Quaternions | Ireland - Sir William Rowan Hamilton | | 1895 | Transfinite numbers | Germany - Georg Cantor | | 1966 | Hyperreal numbers | U.S.A. - Abraham Robinson |